Properties

Label 177.2.f.a.23.9
Level $177$
Weight $2$
Character 177.23
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 23.9
Character \(\chi\) \(=\) 177.23
Dual form 177.2.f.a.77.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0604160 + 0.0572290i) q^{2} +(1.46070 + 0.930782i) q^{3} +(-0.107903 + 1.99015i) q^{4} +(-3.23268 - 0.529971i) q^{5} +(-0.141517 + 0.0273604i) q^{6} +(-1.62584 + 3.06666i) q^{7} +(-0.215124 - 0.253264i) q^{8} +(1.26729 + 2.71919i) q^{9} +O(q^{10})\) \(q+(-0.0604160 + 0.0572290i) q^{2} +(1.46070 + 0.930782i) q^{3} +(-0.107903 + 1.99015i) q^{4} +(-3.23268 - 0.529971i) q^{5} +(-0.141517 + 0.0273604i) q^{6} +(-1.62584 + 3.06666i) q^{7} +(-0.215124 - 0.253264i) q^{8} +(1.26729 + 2.71919i) q^{9} +(0.225635 - 0.152985i) q^{10} +(3.14952 - 0.342531i) q^{11} +(-2.01001 + 2.80658i) q^{12} +(1.78835 - 3.86545i) q^{13} +(-0.0772753 - 0.278321i) q^{14} +(-4.22869 - 3.78305i) q^{15} +(-3.93529 - 0.427989i) q^{16} +(1.00852 - 0.534686i) q^{17} +(-0.232181 - 0.0917564i) q^{18} +(5.72353 - 3.44374i) q^{19} +(1.40354 - 6.37634i) q^{20} +(-5.22926 + 2.96617i) q^{21} +(-0.170679 + 0.200938i) q^{22} +(3.32650 + 8.34888i) q^{23} +(-0.0784986 - 0.570176i) q^{24} +(5.43109 + 1.82995i) q^{25} +(0.113171 + 0.335880i) q^{26} +(-0.679836 + 5.15149i) q^{27} +(-5.92769 - 3.56657i) q^{28} +(3.45648 - 3.64896i) q^{29} +(0.471981 - 0.0134474i) q^{30} +(-1.85981 + 3.09102i) q^{31} +(0.791325 - 0.601550i) q^{32} +(4.91933 + 2.43118i) q^{33} +(-0.0303314 + 0.0900205i) q^{34} +(6.88107 - 9.05189i) q^{35} +(-5.54834 + 2.22869i) q^{36} +(-3.97492 - 3.37633i) q^{37} +(-0.148711 + 0.535609i) q^{38} +(6.21013 - 3.98170i) q^{39} +(0.561205 + 0.932730i) q^{40} +(-7.19479 - 2.86666i) q^{41} +(0.146180 - 0.478470i) q^{42} +(-0.350980 + 3.22721i) q^{43} +(0.341846 + 6.30499i) q^{44} +(-2.65566 - 9.46189i) q^{45} +(-0.678772 - 0.314033i) q^{46} +(-0.457783 - 2.79236i) q^{47} +(-5.34992 - 4.28806i) q^{48} +(-2.83274 - 4.17798i) q^{49} +(-0.432851 + 0.200258i) q^{50} +(1.97083 + 0.157700i) q^{51} +(7.49986 + 3.97617i) q^{52} +(-3.98046 - 2.69882i) q^{53} +(-0.253742 - 0.350139i) q^{54} +(-10.3629 - 0.561862i) q^{55} +(1.12643 - 0.247946i) q^{56} +(11.5657 + 0.297094i) q^{57} +0.418266i q^{58} +(4.21088 - 6.42405i) q^{59} +(7.98513 - 8.00754i) q^{60} +(-1.06237 - 1.12153i) q^{61} +(-0.0645342 - 0.293182i) q^{62} +(-10.3992 - 0.534612i) q^{63} +(1.26744 - 7.73107i) q^{64} +(-7.82973 + 11.5480i) q^{65} +(-0.436340 + 0.134646i) q^{66} +(-3.77567 + 3.20708i) q^{67} +(0.955283 + 2.06481i) q^{68} +(-2.91197 + 15.2914i) q^{69} +(0.102305 + 0.940676i) q^{70} +(6.29254 - 1.03161i) q^{71} +(0.416046 - 0.905921i) q^{72} +(15.0030 - 4.16556i) q^{73} +(0.433373 - 0.0234968i) q^{74} +(6.22992 + 7.72817i) q^{75} +(6.23597 + 11.7623i) q^{76} +(-4.07019 + 10.2154i) q^{77} +(-0.147322 + 0.595958i) q^{78} +(-4.05281 - 0.892092i) q^{79} +(12.4947 + 3.46914i) q^{80} +(-5.78795 + 6.89200i) q^{81} +(0.598736 - 0.238558i) q^{82} +(-5.19868 - 3.95193i) q^{83} +(-5.33888 - 10.7271i) q^{84} +(-3.54361 + 1.19398i) q^{85} +(-0.163485 - 0.215061i) q^{86} +(8.44526 - 2.11281i) q^{87} +(-0.764288 - 0.723972i) q^{88} +(-3.52084 - 3.33512i) q^{89} +(0.701939 + 0.419669i) q^{90} +(8.94645 + 11.7689i) q^{91} +(-16.9745 + 5.71936i) q^{92} +(-5.59368 + 2.78398i) q^{93} +(0.187461 + 0.142504i) q^{94} +(-20.3274 + 8.09919i) q^{95} +(1.71580 - 0.142133i) q^{96} +(4.94512 + 1.37301i) q^{97} +(0.410245 + 0.0903017i) q^{98} +(4.92277 + 8.13005i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{15}{58}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0604160 + 0.0572290i −0.0427205 + 0.0404670i −0.708762 0.705448i \(-0.750746\pi\)
0.666041 + 0.745915i \(0.267987\pi\)
\(3\) 1.46070 + 0.930782i 0.843336 + 0.537387i
\(4\) −0.107903 + 1.99015i −0.0539514 + 0.995076i
\(5\) −3.23268 0.529971i −1.44570 0.237010i −0.612714 0.790305i \(-0.709922\pi\)
−0.832986 + 0.553295i \(0.813370\pi\)
\(6\) −0.141517 + 0.0273604i −0.0577742 + 0.0111698i
\(7\) −1.62584 + 3.06666i −0.614510 + 1.15909i 0.359620 + 0.933099i \(0.382906\pi\)
−0.974130 + 0.225990i \(0.927438\pi\)
\(8\) −0.215124 0.253264i −0.0760578 0.0895422i
\(9\) 1.26729 + 2.71919i 0.422430 + 0.906395i
\(10\) 0.225635 0.152985i 0.0713522 0.0483780i
\(11\) 3.14952 0.342531i 0.949616 0.103277i 0.379818 0.925061i \(-0.375987\pi\)
0.569799 + 0.821784i \(0.307021\pi\)
\(12\) −2.01001 + 2.80658i −0.580240 + 0.810190i
\(13\) 1.78835 3.86545i 0.495998 1.07208i −0.484362 0.874868i \(-0.660948\pi\)
0.980360 0.197215i \(-0.0631896\pi\)
\(14\) −0.0772753 0.278321i −0.0206527 0.0743843i
\(15\) −4.22869 3.78305i −1.09184 0.976779i
\(16\) −3.93529 0.427989i −0.983823 0.106997i
\(17\) 1.00852 0.534686i 0.244603 0.129680i −0.341597 0.939846i \(-0.610968\pi\)
0.586201 + 0.810166i \(0.300623\pi\)
\(18\) −0.232181 0.0917564i −0.0547256 0.0216272i
\(19\) 5.72353 3.44374i 1.31307 0.790047i 0.325246 0.945630i \(-0.394553\pi\)
0.987823 + 0.155582i \(0.0497254\pi\)
\(20\) 1.40354 6.37634i 0.313841 1.42579i
\(21\) −5.22926 + 2.96617i −1.14112 + 0.647271i
\(22\) −0.170679 + 0.200938i −0.0363888 + 0.0428402i
\(23\) 3.32650 + 8.34888i 0.693622 + 1.74086i 0.671385 + 0.741108i \(0.265700\pi\)
0.0222369 + 0.999753i \(0.492921\pi\)
\(24\) −0.0784986 0.570176i −0.0160235 0.116387i
\(25\) 5.43109 + 1.82995i 1.08622 + 0.365990i
\(26\) 0.113171 + 0.335880i 0.0221947 + 0.0658715i
\(27\) −0.679836 + 5.15149i −0.130835 + 0.991404i
\(28\) −5.92769 3.56657i −1.12023 0.674019i
\(29\) 3.45648 3.64896i 0.641852 0.677595i −0.321169 0.947022i \(-0.604076\pi\)
0.963021 + 0.269427i \(0.0868344\pi\)
\(30\) 0.471981 0.0134474i 0.0861715 0.00245514i
\(31\) −1.85981 + 3.09102i −0.334031 + 0.555164i −0.977665 0.210170i \(-0.932598\pi\)
0.643634 + 0.765333i \(0.277426\pi\)
\(32\) 0.791325 0.601550i 0.139888 0.106340i
\(33\) 4.91933 + 2.43118i 0.856345 + 0.423214i
\(34\) −0.0303314 + 0.0900205i −0.00520180 + 0.0154384i
\(35\) 6.88107 9.05189i 1.16311 1.53005i
\(36\) −5.54834 + 2.22869i −0.924723 + 0.371449i
\(37\) −3.97492 3.37633i −0.653473 0.555065i 0.258143 0.966107i \(-0.416889\pi\)
−0.911617 + 0.411041i \(0.865165\pi\)
\(38\) −0.148711 + 0.535609i −0.0241241 + 0.0868873i
\(39\) 6.21013 3.98170i 0.994416 0.637582i
\(40\) 0.561205 + 0.932730i 0.0887343 + 0.147478i
\(41\) −7.19479 2.86666i −1.12364 0.447698i −0.267041 0.963685i \(-0.586046\pi\)
−0.856596 + 0.515988i \(0.827425\pi\)
\(42\) 0.146180 0.478470i 0.0225560 0.0738295i
\(43\) −0.350980 + 3.22721i −0.0535240 + 0.492145i 0.936440 + 0.350827i \(0.114100\pi\)
−0.989964 + 0.141318i \(0.954866\pi\)
\(44\) 0.341846 + 6.30499i 0.0515353 + 0.950512i
\(45\) −2.65566 9.46189i −0.395882 1.41050i
\(46\) −0.678772 0.314033i −0.100079 0.0463017i
\(47\) −0.457783 2.79236i −0.0667746 0.407307i −0.998971 0.0453541i \(-0.985558\pi\)
0.932196 0.361953i \(-0.117890\pi\)
\(48\) −5.34992 4.28806i −0.772194 0.618928i
\(49\) −2.83274 4.17798i −0.404678 0.596855i
\(50\) −0.432851 + 0.200258i −0.0612144 + 0.0283208i
\(51\) 1.97083 + 0.157700i 0.275971 + 0.0220825i
\(52\) 7.49986 + 3.97617i 1.04004 + 0.551396i
\(53\) −3.98046 2.69882i −0.546758 0.370711i 0.256313 0.966594i \(-0.417492\pi\)
−0.803072 + 0.595882i \(0.796802\pi\)
\(54\) −0.253742 0.350139i −0.0345299 0.0476478i
\(55\) −10.3629 0.561862i −1.39734 0.0757614i
\(56\) 1.12643 0.247946i 0.150526 0.0331332i
\(57\) 11.5657 + 0.297094i 1.53192 + 0.0393511i
\(58\) 0.418266i 0.0549211i
\(59\) 4.21088 6.42405i 0.548210 0.836341i
\(60\) 7.98513 8.00754i 1.03088 1.03377i
\(61\) −1.06237 1.12153i −0.136023 0.143598i 0.654425 0.756127i \(-0.272911\pi\)
−0.790448 + 0.612529i \(0.790152\pi\)
\(62\) −0.0645342 0.293182i −0.00819585 0.0372341i
\(63\) −10.3992 0.534612i −1.31018 0.0673548i
\(64\) 1.26744 7.73107i 0.158431 0.966384i
\(65\) −7.82973 + 11.5480i −0.971159 + 1.43235i
\(66\) −0.436340 + 0.134646i −0.0537098 + 0.0165738i
\(67\) −3.77567 + 3.20708i −0.461271 + 0.391807i −0.847670 0.530525i \(-0.821995\pi\)
0.386398 + 0.922332i \(0.373719\pi\)
\(68\) 0.955283 + 2.06481i 0.115845 + 0.250395i
\(69\) −2.91197 + 15.2914i −0.350560 + 1.84087i
\(70\) 0.102305 + 0.940676i 0.0122277 + 0.112432i
\(71\) 6.29254 1.03161i 0.746787 0.122429i 0.223640 0.974672i \(-0.428206\pi\)
0.523147 + 0.852242i \(0.324758\pi\)
\(72\) 0.416046 0.905921i 0.0490315 0.106764i
\(73\) 15.0030 4.16556i 1.75597 0.487541i 0.767768 0.640728i \(-0.221367\pi\)
0.988197 + 0.153186i \(0.0489534\pi\)
\(74\) 0.433373 0.0234968i 0.0503786 0.00273145i
\(75\) 6.22992 + 7.72817i 0.719369 + 0.892372i
\(76\) 6.23597 + 11.7623i 0.715315 + 1.34923i
\(77\) −4.07019 + 10.2154i −0.463842 + 1.16415i
\(78\) −0.147322 + 0.595958i −0.0166809 + 0.0674790i
\(79\) −4.05281 0.892092i −0.455977 0.100368i −0.0189579 0.999820i \(-0.506035\pi\)
−0.437019 + 0.899452i \(0.643966\pi\)
\(80\) 12.4947 + 3.46914i 1.39695 + 0.387862i
\(81\) −5.78795 + 6.89200i −0.643105 + 0.765778i
\(82\) 0.598736 0.238558i 0.0661194 0.0263444i
\(83\) −5.19868 3.95193i −0.570629 0.433781i 0.279658 0.960100i \(-0.409779\pi\)
−0.850287 + 0.526319i \(0.823572\pi\)
\(84\) −5.33888 10.7271i −0.582519 1.17042i
\(85\) −3.54361 + 1.19398i −0.384358 + 0.129505i
\(86\) −0.163485 0.215061i −0.0176291 0.0231907i
\(87\) 8.44526 2.11281i 0.905427 0.226517i
\(88\) −0.764288 0.723972i −0.0814734 0.0771757i
\(89\) −3.52084 3.33512i −0.373209 0.353522i 0.477990 0.878365i \(-0.341365\pi\)
−0.851199 + 0.524843i \(0.824124\pi\)
\(90\) 0.701939 + 0.419669i 0.0739909 + 0.0442370i
\(91\) 8.94645 + 11.7689i 0.937843 + 1.23371i
\(92\) −16.9745 + 5.71936i −1.76971 + 0.596285i
\(93\) −5.59368 + 2.78398i −0.580038 + 0.288686i
\(94\) 0.187461 + 0.142504i 0.0193352 + 0.0146982i
\(95\) −20.3274 + 8.09919i −2.08555 + 0.830960i
\(96\) 1.71580 0.142133i 0.175118 0.0145064i
\(97\) 4.94512 + 1.37301i 0.502101 + 0.139408i 0.509339 0.860566i \(-0.329890\pi\)
−0.00723772 + 0.999974i \(0.502304\pi\)
\(98\) 0.410245 + 0.0903017i 0.0414410 + 0.00912185i
\(99\) 4.92277 + 8.13005i 0.494757 + 0.817101i
\(100\) −4.22791 + 10.6112i −0.422791 + 1.06112i
\(101\) −0.521808 0.984235i −0.0519219 0.0979350i 0.856193 0.516656i \(-0.172823\pi\)
−0.908115 + 0.418721i \(0.862479\pi\)
\(102\) −0.128095 + 0.103261i −0.0126833 + 0.0102244i
\(103\) −1.32607 + 0.0718976i −0.130662 + 0.00708428i −0.119354 0.992852i \(-0.538082\pi\)
−0.0113080 + 0.999936i \(0.503600\pi\)
\(104\) −1.36369 + 0.378628i −0.133721 + 0.0371275i
\(105\) 18.4765 6.81733i 1.80312 0.665303i
\(106\) 0.394934 0.0647462i 0.0383594 0.00628871i
\(107\) −1.01057 9.29207i −0.0976958 0.898298i −0.935739 0.352694i \(-0.885266\pi\)
0.838043 0.545604i \(-0.183700\pi\)
\(108\) −10.1789 1.90884i −0.979464 0.183678i
\(109\) 0.363765 + 0.786265i 0.0348424 + 0.0753106i 0.924215 0.381872i \(-0.124721\pi\)
−0.889373 + 0.457183i \(0.848859\pi\)
\(110\) 0.658241 0.559115i 0.0627609 0.0533095i
\(111\) −2.66355 8.63159i −0.252813 0.819275i
\(112\) 7.71065 11.3724i 0.728588 1.07459i
\(113\) −2.11659 + 12.9106i −0.199112 + 1.21453i 0.678298 + 0.734787i \(0.262718\pi\)
−0.877410 + 0.479741i \(0.840730\pi\)
\(114\) −0.715757 + 0.643947i −0.0670368 + 0.0603111i
\(115\) −6.32884 28.7522i −0.590167 2.68116i
\(116\) 6.88902 + 7.27265i 0.639629 + 0.675248i
\(117\) 12.7772 0.0357996i 1.18126 0.00330967i
\(118\) 0.113238 + 0.629100i 0.0104244 + 0.0579134i
\(119\) 3.96212i 0.363207i
\(120\) −0.0484156 + 1.88480i −0.00441972 + 0.172058i
\(121\) −0.940670 + 0.207057i −0.0855154 + 0.0188234i
\(122\) 0.128369 + 0.00695995i 0.0116220 + 0.000630124i
\(123\) −7.84119 10.8841i −0.707016 0.981387i
\(124\) −5.95092 4.03483i −0.534409 0.362338i
\(125\) −2.11598 1.12182i −0.189259 0.100339i
\(126\) 0.658875 0.562839i 0.0586973 0.0501417i
\(127\) 3.00971 1.39244i 0.267069 0.123559i −0.281785 0.959478i \(-0.590927\pi\)
0.548854 + 0.835918i \(0.315064\pi\)
\(128\) 1.48152 + 2.18508i 0.130949 + 0.193135i
\(129\) −3.51651 + 4.38730i −0.309611 + 0.386280i
\(130\) −0.187840 1.14577i −0.0164746 0.100491i
\(131\) 8.88587 + 4.11104i 0.776362 + 0.359183i 0.767725 0.640779i \(-0.221389\pi\)
0.00863702 + 0.999963i \(0.497251\pi\)
\(132\) −5.36923 + 9.52788i −0.467331 + 0.829295i
\(133\) 1.25522 + 23.1511i 0.108841 + 2.00746i
\(134\) 0.0445725 0.409837i 0.00385047 0.0354045i
\(135\) 4.92783 16.2928i 0.424120 1.40226i
\(136\) −0.352374 0.140399i −0.0302158 0.0120391i
\(137\) −0.362897 0.603140i −0.0310044 0.0515297i 0.840968 0.541086i \(-0.181987\pi\)
−0.871972 + 0.489556i \(0.837159\pi\)
\(138\) −0.699186 1.09050i −0.0595186 0.0928293i
\(139\) 0.847227 3.05143i 0.0718608 0.258819i −0.918890 0.394514i \(-0.870913\pi\)
0.990751 + 0.135695i \(0.0433267\pi\)
\(140\) 17.2721 + 14.6711i 1.45976 + 1.23993i
\(141\) 1.93039 4.50489i 0.162568 0.379380i
\(142\) −0.321132 + 0.422441i −0.0269488 + 0.0354505i
\(143\) 4.30840 12.7869i 0.360286 1.06929i
\(144\) −3.82338 11.2432i −0.318615 0.936931i
\(145\) −13.1075 + 9.96409i −1.08852 + 0.827473i
\(146\) −0.668029 + 1.11027i −0.0552864 + 0.0918868i
\(147\) −0.248998 8.73945i −0.0205370 0.720817i
\(148\) 7.14832 7.54638i 0.587588 0.620309i
\(149\) 7.02017 + 4.22390i 0.575115 + 0.346035i 0.773212 0.634147i \(-0.218649\pi\)
−0.198098 + 0.980182i \(0.563476\pi\)
\(150\) −0.818662 0.110373i −0.0668435 0.00901188i
\(151\) −3.74558 11.1165i −0.304811 0.904647i −0.985142 0.171742i \(-0.945060\pi\)
0.680331 0.732905i \(-0.261836\pi\)
\(152\) −2.10344 0.708732i −0.170612 0.0574858i
\(153\) 2.73200 + 2.06476i 0.220870 + 0.166926i
\(154\) −0.338714 0.850108i −0.0272943 0.0685036i
\(155\) 7.65031 9.00664i 0.614488 0.723431i
\(156\) 7.25410 + 12.7887i 0.580793 + 1.02392i
\(157\) −1.64366 + 7.46722i −0.131178 + 0.595949i 0.864464 + 0.502695i \(0.167658\pi\)
−0.995642 + 0.0932544i \(0.970273\pi\)
\(158\) 0.295908 0.178042i 0.0235412 0.0141643i
\(159\) −3.30225 7.64711i −0.261885 0.606455i
\(160\) −2.87691 + 1.52524i −0.227439 + 0.120581i
\(161\) −31.0115 3.37271i −2.44405 0.265807i
\(162\) −0.0447381 0.747626i −0.00351496 0.0587390i
\(163\) −0.0588751 0.212049i −0.00461145 0.0166089i 0.961208 0.275823i \(-0.0889503\pi\)
−0.965820 + 0.259214i \(0.916537\pi\)
\(164\) 6.48144 14.0094i 0.506115 1.09395i
\(165\) −14.6142 10.4663i −1.13771 0.814803i
\(166\) 0.540249 0.0587556i 0.0419314 0.00456032i
\(167\) −8.54615 + 5.79444i −0.661321 + 0.448387i −0.845120 0.534577i \(-0.820471\pi\)
0.183798 + 0.982964i \(0.441161\pi\)
\(168\) 1.87616 + 0.686286i 0.144749 + 0.0529481i
\(169\) −3.32748 3.91742i −0.255960 0.301340i
\(170\) 0.145760 0.274933i 0.0111793 0.0210864i
\(171\) 16.6175 + 11.1991i 1.27078 + 0.856420i
\(172\) −6.38477 1.04673i −0.486834 0.0798124i
\(173\) 0.184633 3.40536i 0.0140374 0.258905i −0.983088 0.183135i \(-0.941376\pi\)
0.997125 0.0757705i \(-0.0241416\pi\)
\(174\) −0.389315 + 0.610962i −0.0295139 + 0.0463169i
\(175\) −14.4419 + 13.6801i −1.09171 + 1.03412i
\(176\) −12.5409 −0.945305
\(177\) 12.1302 5.46421i 0.911764 0.410715i
\(178\) 0.403581 0.0302497
\(179\) 13.7687 13.0424i 1.02912 0.974836i 0.0294277 0.999567i \(-0.490632\pi\)
0.999694 + 0.0247309i \(0.00787289\pi\)
\(180\) 19.1172 4.26420i 1.42491 0.317834i
\(181\) 0.0183014 0.337549i 0.00136033 0.0250898i −0.997774 0.0666795i \(-0.978759\pi\)
0.999135 + 0.0415897i \(0.0132422\pi\)
\(182\) −1.21403 0.199030i −0.0899898 0.0147531i
\(183\) −0.507906 2.62706i −0.0375455 0.194198i
\(184\) 1.39886 2.63852i 0.103125 0.194515i
\(185\) 11.0603 + 13.0212i 0.813170 + 0.957337i
\(186\) 0.178623 0.488318i 0.0130973 0.0358052i
\(187\) 2.99322 2.02946i 0.218886 0.148409i
\(188\) 5.60661 0.609755i 0.408904 0.0444710i
\(189\) −14.6926 10.4603i −1.06873 0.760877i
\(190\) 0.764593 1.65264i 0.0554694 0.119895i
\(191\) −4.53021 16.3163i −0.327794 1.18061i −0.925454 0.378859i \(-0.876317\pi\)
0.597660 0.801750i \(-0.296097\pi\)
\(192\) 9.04729 10.1131i 0.652932 0.729847i
\(193\) −0.667973 0.0726465i −0.0480818 0.00522921i 0.0840465 0.996462i \(-0.473216\pi\)
−0.132128 + 0.991233i \(0.542181\pi\)
\(194\) −0.377340 + 0.200053i −0.0270914 + 0.0143630i
\(195\) −22.1855 + 9.58038i −1.58874 + 0.686065i
\(196\) 8.62048 5.18677i 0.615749 0.370484i
\(197\) −1.28285 + 5.82806i −0.0913996 + 0.415232i −0.999997 0.00244049i \(-0.999223\pi\)
0.908597 + 0.417673i \(0.137154\pi\)
\(198\) −0.762689 0.209460i −0.0542019 0.0148856i
\(199\) 6.50906 7.66306i 0.461415 0.543220i −0.481416 0.876493i \(-0.659877\pi\)
0.942830 + 0.333273i \(0.108153\pi\)
\(200\) −0.704899 1.76916i −0.0498439 0.125099i
\(201\) −8.50021 + 1.17026i −0.599559 + 0.0825439i
\(202\) 0.0878524 + 0.0296009i 0.00618127 + 0.00208271i
\(203\) 5.57044 + 16.5325i 0.390968 + 1.16035i
\(204\) −0.526506 + 3.90523i −0.0368628 + 0.273421i
\(205\) 21.7392 + 13.0800i 1.51833 + 0.913550i
\(206\) 0.0760013 0.0802336i 0.00529526 0.00559014i
\(207\) −18.4865 + 19.6258i −1.28490 + 1.36409i
\(208\) −8.69203 + 14.4463i −0.602684 + 1.00167i
\(209\) 16.8468 12.8066i 1.16532 0.885852i
\(210\) −0.726127 + 1.46927i −0.0501075 + 0.101389i
\(211\) −0.833661 + 2.47422i −0.0573916 + 0.170332i −0.972514 0.232843i \(-0.925197\pi\)
0.915123 + 0.403176i \(0.132094\pi\)
\(212\) 5.80056 7.63051i 0.398384 0.524066i
\(213\) 10.1517 + 4.35011i 0.695584 + 0.298064i
\(214\) 0.592831 + 0.503555i 0.0405251 + 0.0344223i
\(215\) 2.84494 10.2465i 0.194023 0.698808i
\(216\) 1.45093 0.936031i 0.0987235 0.0636888i
\(217\) −6.45537 10.7289i −0.438219 0.728325i
\(218\) −0.0669744 0.0266851i −0.00453608 0.00180734i
\(219\) 25.7921 + 7.87987i 1.74287 + 0.532472i
\(220\) 2.23638 20.5632i 0.150777 1.38637i
\(221\) −0.263209 4.85460i −0.0177054 0.326556i
\(222\) 0.654899 + 0.369054i 0.0439539 + 0.0247693i
\(223\) −0.111534 0.0516013i −0.00746889 0.00345548i 0.416151 0.909295i \(-0.363379\pi\)
−0.423620 + 0.905840i \(0.639241\pi\)
\(224\) 0.558180 + 3.40475i 0.0372950 + 0.227489i
\(225\) 1.90681 + 17.0872i 0.127120 + 1.13915i
\(226\) −0.610986 0.901137i −0.0406422 0.0599428i
\(227\) −25.7585 + 11.9171i −1.70965 + 0.790968i −0.713759 + 0.700391i \(0.753009\pi\)
−0.995889 + 0.0905769i \(0.971129\pi\)
\(228\) −1.83924 + 22.9855i −0.121807 + 1.52225i
\(229\) −15.5462 8.24209i −1.02732 0.544653i −0.132552 0.991176i \(-0.542317\pi\)
−0.894772 + 0.446523i \(0.852662\pi\)
\(230\) 2.02782 + 1.37490i 0.133711 + 0.0906582i
\(231\) −15.4537 + 11.1332i −1.01678 + 0.732511i
\(232\) −1.66772 0.0904211i −0.109491 0.00593644i
\(233\) −24.9830 + 5.49917i −1.63669 + 0.360263i −0.935669 0.352879i \(-0.885203\pi\)
−0.701020 + 0.713141i \(0.747272\pi\)
\(234\) −0.769900 + 0.733392i −0.0503299 + 0.0479433i
\(235\) 9.26941i 0.604670i
\(236\) 12.3305 + 9.07347i 0.802646 + 0.590632i
\(237\) −5.08960 5.07536i −0.330605 0.329680i
\(238\) −0.226748 0.239375i −0.0146979 0.0155164i
\(239\) −5.65279 25.6809i −0.365648 1.66116i −0.696562 0.717496i \(-0.745288\pi\)
0.330914 0.943661i \(-0.392643\pi\)
\(240\) 15.0220 + 16.6972i 0.969668 + 1.07780i
\(241\) 2.19737 13.4034i 0.141545 0.863388i −0.816621 0.577175i \(-0.804155\pi\)
0.958166 0.286213i \(-0.0923966\pi\)
\(242\) 0.0449818 0.0663432i 0.00289154 0.00426470i
\(243\) −14.8694 + 4.67983i −0.953873 + 0.300211i
\(244\) 2.34666 1.99327i 0.150229 0.127606i
\(245\) 6.94314 + 15.0074i 0.443581 + 0.958785i
\(246\) 1.09662 + 0.208831i 0.0699180 + 0.0133146i
\(247\) −3.07592 28.2826i −0.195716 1.79958i
\(248\) 1.18293 0.193932i 0.0751162 0.0123147i
\(249\) −3.91532 10.6114i −0.248124 0.672472i
\(250\) 0.192040 0.0533195i 0.0121456 0.00337222i
\(251\) −17.8842 + 0.969651i −1.12884 + 0.0612038i −0.609080 0.793109i \(-0.708461\pi\)
−0.519759 + 0.854313i \(0.673978\pi\)
\(252\) 2.18607 20.6384i 0.137709 1.30010i
\(253\) 13.3366 + 25.1555i 0.838466 + 1.58151i
\(254\) −0.102147 + 0.256368i −0.00640924 + 0.0160860i
\(255\) −6.28748 1.55428i −0.393738 0.0973326i
\(256\) 15.0877 + 3.32105i 0.942979 + 0.207565i
\(257\) −3.84376 1.06721i −0.239767 0.0665709i 0.145566 0.989349i \(-0.453500\pi\)
−0.385333 + 0.922778i \(0.625913\pi\)
\(258\) −0.0386280 0.466309i −0.00240487 0.0290312i
\(259\) 16.8167 6.70037i 1.04494 0.416341i
\(260\) −22.1374 16.8284i −1.37290 1.04365i
\(261\) 14.3026 + 4.77451i 0.885306 + 0.295535i
\(262\) −0.772120 + 0.260157i −0.0477017 + 0.0160726i
\(263\) 9.30855 + 12.2452i 0.573990 + 0.755071i 0.987874 0.155259i \(-0.0496212\pi\)
−0.413884 + 0.910330i \(0.635828\pi\)
\(264\) −0.442536 1.76889i −0.0272362 0.108868i
\(265\) 11.4373 + 10.8340i 0.702586 + 0.665525i
\(266\) −1.40075 1.32686i −0.0858855 0.0813551i
\(267\) −2.03863 8.14875i −0.124762 0.498695i
\(268\) −5.97517 7.86021i −0.364992 0.480139i
\(269\) 16.4098 5.52911i 1.00052 0.337116i 0.229076 0.973409i \(-0.426430\pi\)
0.771448 + 0.636293i \(0.219533\pi\)
\(270\) 0.634703 + 1.26636i 0.0386268 + 0.0770683i
\(271\) 12.6569 + 9.62154i 0.768853 + 0.584467i 0.914366 0.404889i \(-0.132690\pi\)
−0.145512 + 0.989356i \(0.546483\pi\)
\(272\) −4.19768 + 1.67251i −0.254522 + 0.101411i
\(273\) 2.11385 + 25.5180i 0.127936 + 1.54442i
\(274\) 0.0564419 + 0.0156710i 0.00340978 + 0.000946721i
\(275\) 17.7322 + 3.90314i 1.06929 + 0.235368i
\(276\) −30.1181 7.44525i −1.81290 0.448151i
\(277\) −8.42612 + 21.1480i −0.506277 + 1.27066i 0.424618 + 0.905372i \(0.360408\pi\)
−0.930895 + 0.365286i \(0.880971\pi\)
\(278\) 0.123445 + 0.232841i 0.00740372 + 0.0139649i
\(279\) −10.7620 1.13993i −0.644303 0.0682461i
\(280\) −3.77280 + 0.204555i −0.225468 + 0.0122245i
\(281\) 18.3106 5.08393i 1.09232 0.303282i 0.325760 0.945452i \(-0.394380\pi\)
0.766561 + 0.642171i \(0.221966\pi\)
\(282\) 0.141184 + 0.382642i 0.00840740 + 0.0227860i
\(283\) 11.1459 1.82727i 0.662553 0.108620i 0.178883 0.983870i \(-0.442752\pi\)
0.483670 + 0.875250i \(0.339303\pi\)
\(284\) 1.37408 + 12.6344i 0.0815364 + 0.749715i
\(285\) −37.2309 7.08992i −2.20537 0.419970i
\(286\) 0.471485 + 1.01910i 0.0278795 + 0.0602605i
\(287\) 20.4887 17.4032i 1.20941 1.02728i
\(288\) 2.63856 + 1.38942i 0.155479 + 0.0818725i
\(289\) −8.80895 + 12.9922i −0.518173 + 0.764249i
\(290\) 0.221669 1.35212i 0.0130169 0.0793993i
\(291\) 5.94537 + 6.60838i 0.348524 + 0.387390i
\(292\) 6.67122 + 30.3077i 0.390404 + 1.77362i
\(293\) −11.1455 11.7662i −0.651129 0.687389i 0.313922 0.949449i \(-0.398357\pi\)
−0.965052 + 0.262060i \(0.915598\pi\)
\(294\) 0.515194 + 0.513752i 0.0300467 + 0.0299626i
\(295\) −17.0170 + 18.5353i −0.990768 + 1.07917i
\(296\) 1.73303i 0.100730i
\(297\) −0.376615 + 16.4576i −0.0218534 + 0.954966i
\(298\) −0.665860 + 0.146567i −0.0385722 + 0.00849039i
\(299\) 38.2211 + 2.07229i 2.21038 + 0.119843i
\(300\) −16.0525 + 11.5646i −0.926789 + 0.667682i
\(301\) −9.32612 6.32327i −0.537549 0.364467i
\(302\) 0.862479 + 0.457257i 0.0496301 + 0.0263122i
\(303\) 0.153902 1.92336i 0.00884145 0.110494i
\(304\) −23.9977 + 11.1025i −1.37636 + 0.636772i
\(305\) 2.83994 + 4.18859i 0.162614 + 0.239838i
\(306\) −0.283221 + 0.0316053i −0.0161907 + 0.00180676i
\(307\) 3.07314 + 18.7453i 0.175393 + 1.06985i 0.916962 + 0.398974i \(0.130634\pi\)
−0.741569 + 0.670877i \(0.765918\pi\)
\(308\) −19.8910 9.20258i −1.13340 0.524365i
\(309\) −2.00392 1.12926i −0.113999 0.0642415i
\(310\) 0.0532406 + 0.981965i 0.00302386 + 0.0557719i
\(311\) −1.27138 + 11.6901i −0.0720932 + 0.662886i 0.901213 + 0.433376i \(0.142678\pi\)
−0.973306 + 0.229510i \(0.926288\pi\)
\(312\) −2.34437 0.716239i −0.132724 0.0405491i
\(313\) −12.8278 5.11107i −0.725071 0.288895i −0.0217466 0.999764i \(-0.506923\pi\)
−0.703325 + 0.710869i \(0.748302\pi\)
\(314\) −0.328039 0.545204i −0.0185123 0.0307677i
\(315\) 33.3341 + 7.23953i 1.87816 + 0.407901i
\(316\) 2.21271 7.96946i 0.124475 0.448317i
\(317\) −3.55096 3.01622i −0.199442 0.169408i 0.542100 0.840314i \(-0.317629\pi\)
−0.741542 + 0.670906i \(0.765905\pi\)
\(318\) 0.637145 + 0.273023i 0.0357293 + 0.0153104i
\(319\) 9.63637 12.6764i 0.539533 0.709744i
\(320\) −8.19449 + 24.3204i −0.458086 + 1.35955i
\(321\) 7.17274 14.5136i 0.400343 0.810067i
\(322\) 2.06661 1.57099i 0.115168 0.0875481i
\(323\) 3.93101 6.53339i 0.218727 0.363527i
\(324\) −13.0916 12.2626i −0.727311 0.681253i
\(325\) 16.7863 17.7210i 0.931134 0.982986i
\(326\) 0.0156924 + 0.00944177i 0.000869119 + 0.000522931i
\(327\) −0.200490 + 1.48708i −0.0110871 + 0.0822359i
\(328\) 0.821749 + 2.43886i 0.0453735 + 0.134664i
\(329\) 9.30749 + 3.13606i 0.513139 + 0.172897i
\(330\) 1.48191 0.204021i 0.0815763 0.0112310i
\(331\) −10.1109 25.3766i −0.555748 1.39482i −0.891564 0.452894i \(-0.850392\pi\)
0.335817 0.941927i \(-0.390988\pi\)
\(332\) 8.42590 9.91973i 0.462431 0.544416i
\(333\) 4.14349 15.0873i 0.227062 0.826782i
\(334\) 0.184714 0.839165i 0.0101071 0.0459171i
\(335\) 13.9052 8.36648i 0.759722 0.457110i
\(336\) 21.8481 9.43468i 1.19191 0.514704i
\(337\) 3.66084 1.94086i 0.199419 0.105725i −0.365707 0.930730i \(-0.619173\pi\)
0.565125 + 0.825005i \(0.308828\pi\)
\(338\) 0.425223 + 0.0462458i 0.0231291 + 0.00251544i
\(339\) −15.1087 + 16.8885i −0.820590 + 0.917255i
\(340\) −1.99384 7.18115i −0.108131 0.389453i
\(341\) −4.79873 + 10.3723i −0.259866 + 0.561690i
\(342\) −1.64488 + 0.274399i −0.0889450 + 0.0148378i
\(343\) −6.73645 + 0.732633i −0.363734 + 0.0395585i
\(344\) 0.892839 0.605360i 0.0481387 0.0326388i
\(345\) 17.5175 47.8891i 0.943110 2.57826i
\(346\) 0.183731 + 0.216305i 0.00987744 + 0.0116286i
\(347\) −10.7360 + 20.2503i −0.576340 + 1.08709i 0.408357 + 0.912822i \(0.366102\pi\)
−0.984698 + 0.174271i \(0.944243\pi\)
\(348\) 3.29354 + 17.0353i 0.176552 + 0.913190i
\(349\) 23.8048 + 3.90260i 1.27424 + 0.208901i 0.760666 0.649143i \(-0.224872\pi\)
0.513575 + 0.858044i \(0.328321\pi\)
\(350\) 0.0896228 1.65300i 0.00479054 0.0883563i
\(351\) 18.6970 + 11.8405i 0.997973 + 0.632000i
\(352\) 2.28625 2.16565i 0.121857 0.115429i
\(353\) 13.1355 0.699130 0.349565 0.936912i \(-0.386329\pi\)
0.349565 + 0.936912i \(0.386329\pi\)
\(354\) −0.420148 + 1.02433i −0.0223306 + 0.0544424i
\(355\) −20.8885 −1.10865
\(356\) 7.01730 6.64714i 0.371916 0.352298i
\(357\) −3.68787 + 5.78747i −0.195183 + 0.306305i
\(358\) −0.0854450 + 1.57594i −0.00451591 + 0.0832911i
\(359\) 2.67036 + 0.437783i 0.140936 + 0.0231053i 0.231837 0.972755i \(-0.425526\pi\)
−0.0909009 + 0.995860i \(0.528975\pi\)
\(360\) −1.82506 + 2.70806i −0.0961889 + 0.142727i
\(361\) 11.9998 22.6339i 0.631566 1.19126i
\(362\) 0.0182119 + 0.0214407i 0.000957197 + 0.00112690i
\(363\) −1.56676 0.573110i −0.0822336 0.0300805i
\(364\) −24.3872 + 16.5349i −1.27823 + 0.866664i
\(365\) −50.7075 + 5.51477i −2.65415 + 0.288656i
\(366\) 0.181030 + 0.129650i 0.00946259 + 0.00677690i
\(367\) 2.36314 5.10784i 0.123355 0.266627i −0.836053 0.548648i \(-0.815143\pi\)
0.959408 + 0.282021i \(0.0910048\pi\)
\(368\) −9.51751 34.2790i −0.496134 1.78691i
\(369\) −1.32289 23.1969i −0.0688670 1.20758i
\(370\) −1.41341 0.153718i −0.0734797 0.00799140i
\(371\) 14.7480 7.81888i 0.765676 0.405936i
\(372\) −4.93697 11.4327i −0.255970 0.592757i
\(373\) 4.38329 2.63734i 0.226958 0.136556i −0.397533 0.917588i \(-0.630134\pi\)
0.624492 + 0.781031i \(0.285306\pi\)
\(374\) −0.0646947 + 0.293911i −0.00334528 + 0.0151978i
\(375\) −2.04664 3.60816i −0.105688 0.186324i
\(376\) −0.608722 + 0.716642i −0.0313924 + 0.0369580i
\(377\) −7.92348 19.8864i −0.408080 1.02420i
\(378\) 1.48630 0.208870i 0.0764470 0.0107431i
\(379\) −33.4186 11.2600i −1.71660 0.578389i −0.722946 0.690904i \(-0.757213\pi\)
−0.993650 + 0.112515i \(0.964109\pi\)
\(380\) −13.9252 41.3286i −0.714349 2.12011i
\(381\) 5.69234 + 0.767445i 0.291627 + 0.0393174i
\(382\) 1.20747 + 0.726508i 0.0617793 + 0.0371714i
\(383\) −3.97826 + 4.19979i −0.203279 + 0.214599i −0.819662 0.572847i \(-0.805839\pi\)
0.616383 + 0.787447i \(0.288597\pi\)
\(384\) 0.130226 + 4.57072i 0.00664555 + 0.233248i
\(385\) 18.5715 30.8661i 0.946492 1.57308i
\(386\) 0.0445137 0.0338385i 0.00226569 0.00172233i
\(387\) −9.22018 + 3.13543i −0.468688 + 0.159383i
\(388\) −3.26608 + 9.69339i −0.165810 + 0.492107i
\(389\) −3.02980 + 3.98563i −0.153617 + 0.202080i −0.866464 0.499240i \(-0.833612\pi\)
0.712847 + 0.701320i \(0.247406\pi\)
\(390\) 0.792085 1.84847i 0.0401088 0.0936007i
\(391\) 7.81888 + 6.64142i 0.395418 + 0.335871i
\(392\) −0.448740 + 1.61621i −0.0226648 + 0.0816312i
\(393\) 9.15311 + 14.2758i 0.461713 + 0.720119i
\(394\) −0.256030 0.425525i −0.0128986 0.0214376i
\(395\) 12.6287 + 5.03172i 0.635418 + 0.253173i
\(396\) −16.7112 + 8.91979i −0.839770 + 0.448237i
\(397\) 4.05700 37.3035i 0.203615 1.87221i −0.232886 0.972504i \(-0.574817\pi\)
0.436501 0.899704i \(-0.356217\pi\)
\(398\) 0.0452983 + 0.835478i 0.00227060 + 0.0418787i
\(399\) −19.7151 + 34.9852i −0.986991 + 1.75145i
\(400\) −20.5897 9.52583i −1.02949 0.476291i
\(401\) −2.15553 13.1481i −0.107642 0.656587i −0.984439 0.175726i \(-0.943773\pi\)
0.876797 0.480861i \(-0.159676\pi\)
\(402\) 0.446576 0.557162i 0.0222732 0.0277887i
\(403\) 8.62220 + 12.7168i 0.429503 + 0.633469i
\(404\) 2.01508 0.932276i 0.100254 0.0463824i
\(405\) 22.3632 19.2122i 1.11123 0.954662i
\(406\) −1.28268 0.680035i −0.0636584 0.0337495i
\(407\) −13.6756 9.27229i −0.677875 0.459610i
\(408\) −0.384033 0.533064i −0.0190124 0.0263906i
\(409\) 2.12878 + 0.115419i 0.105261 + 0.00570710i 0.106694 0.994292i \(-0.465973\pi\)
−0.00143304 + 0.999999i \(0.500456\pi\)
\(410\) −2.06195 + 0.453870i −0.101833 + 0.0224151i
\(411\) 0.0313075 1.21879i 0.00154428 0.0601182i
\(412\) 2.64684i 0.130401i
\(413\) 12.8542 + 23.3578i 0.632513 + 1.14936i
\(414\) −0.00628639 2.24368i −0.000308959 0.110271i
\(415\) 14.7113 + 15.5305i 0.722147 + 0.762362i
\(416\) −0.910096 4.13461i −0.0446211 0.202716i
\(417\) 4.07776 3.66865i 0.199689 0.179654i
\(418\) −0.284906 + 1.73785i −0.0139352 + 0.0850010i
\(419\) −14.2382 + 20.9998i −0.695583 + 1.02591i 0.301784 + 0.953376i \(0.402418\pi\)
−0.997366 + 0.0725312i \(0.976892\pi\)
\(420\) 11.5738 + 37.5067i 0.564746 + 1.83014i
\(421\) −30.6073 + 25.9981i −1.49171 + 1.26707i −0.612650 + 0.790354i \(0.709897\pi\)
−0.879058 + 0.476715i \(0.841828\pi\)
\(422\) −0.0912307 0.197192i −0.00444104 0.00959916i
\(423\) 7.01279 4.78353i 0.340974 0.232583i
\(424\) 0.172780 + 1.58869i 0.00839094 + 0.0771534i
\(425\) 6.45584 1.05838i 0.313154 0.0513390i
\(426\) −0.862278 + 0.318157i −0.0417775 + 0.0154148i
\(427\) 5.16662 1.43450i 0.250030 0.0694205i
\(428\) 18.6017 1.00855i 0.899146 0.0487503i
\(429\) 18.1951 14.6676i 0.878466 0.708159i
\(430\) 0.414520 + 0.781867i 0.0199899 + 0.0377050i
\(431\) −9.06952 + 22.7628i −0.436864 + 1.09644i 0.531535 + 0.847036i \(0.321615\pi\)
−0.968398 + 0.249408i \(0.919764\pi\)
\(432\) 4.88013 19.9816i 0.234796 0.961367i
\(433\) −21.9315 4.82750i −1.05396 0.231995i −0.345993 0.938237i \(-0.612458\pi\)
−0.707970 + 0.706242i \(0.750389\pi\)
\(434\) 1.00401 + 0.278763i 0.0481941 + 0.0133810i
\(435\) −28.4206 + 2.35429i −1.36266 + 0.112880i
\(436\) −1.60404 + 0.639107i −0.0768195 + 0.0306077i
\(437\) 47.7906 + 36.3295i 2.28614 + 1.73788i
\(438\) −2.00921 + 0.999986i −0.0960038 + 0.0477812i
\(439\) 18.4359 6.21179i 0.879899 0.296472i 0.157143 0.987576i \(-0.449772\pi\)
0.722756 + 0.691103i \(0.242875\pi\)
\(440\) 2.08702 + 2.74542i 0.0994946 + 0.130883i
\(441\) 7.77081 12.9975i 0.370038 0.618927i
\(442\) 0.293726 + 0.278232i 0.0139711 + 0.0132342i
\(443\) 11.0456 + 10.4629i 0.524791 + 0.497109i 0.903606 0.428364i \(-0.140910\pi\)
−0.378815 + 0.925472i \(0.623668\pi\)
\(444\) 17.4656 4.36949i 0.828880 0.207367i
\(445\) 9.61425 + 12.6473i 0.455759 + 0.599541i
\(446\) 0.00969154 0.00326546i 0.000458908 0.000154624i
\(447\) 6.32284 + 12.7041i 0.299060 + 0.600883i
\(448\) 21.6479 + 16.4563i 1.02277 + 0.777488i
\(449\) 14.6323 5.83005i 0.690542 0.275137i 0.00164745 0.999999i \(-0.499476\pi\)
0.688895 + 0.724862i \(0.258096\pi\)
\(450\) −1.09309 0.923217i −0.0515287 0.0435209i
\(451\) −23.6421 6.56418i −1.11326 0.309095i
\(452\) −25.4657 5.60542i −1.19781 0.263657i
\(453\) 4.87585 19.7242i 0.229088 0.926723i
\(454\) 0.874216 2.19412i 0.0410290 0.102975i
\(455\) −22.6839 42.7863i −1.06344 2.00585i
\(456\) −2.41282 2.99309i −0.112991 0.140164i
\(457\) −35.8686 + 1.94474i −1.67786 + 0.0909710i −0.868292 0.496054i \(-0.834782\pi\)
−0.809569 + 0.587025i \(0.800299\pi\)
\(458\) 1.41093 0.391742i 0.0659283 0.0183049i
\(459\) 2.06880 + 5.55890i 0.0965631 + 0.259467i
\(460\) 57.9042 9.49290i 2.69980 0.442609i
\(461\) 1.31342 + 12.0767i 0.0611722 + 0.562469i 0.984115 + 0.177532i \(0.0568114\pi\)
−0.922943 + 0.384937i \(0.874223\pi\)
\(462\) 0.296505 1.55702i 0.0137947 0.0724392i
\(463\) 10.8473 + 23.4461i 0.504117 + 1.08963i 0.977916 + 0.208999i \(0.0670204\pi\)
−0.473799 + 0.880633i \(0.657117\pi\)
\(464\) −15.1640 + 12.8804i −0.703969 + 0.597957i
\(465\) 19.5580 6.03524i 0.906982 0.279877i
\(466\) 1.19466 1.76199i 0.0553415 0.0816226i
\(467\) −6.12745 + 37.3758i −0.283544 + 1.72954i 0.333618 + 0.942709i \(0.391731\pi\)
−0.617162 + 0.786836i \(0.711718\pi\)
\(468\) −1.30745 + 25.4325i −0.0604371 + 1.17562i
\(469\) −3.69640 16.7929i −0.170684 0.775424i
\(470\) −0.530479 0.560020i −0.0244692 0.0258318i
\(471\) −9.35125 + 9.37748i −0.430883 + 0.432092i
\(472\) −2.53284 + 0.315505i −0.116583 + 0.0145223i
\(473\) 10.2844i 0.472877i
\(474\) 0.597952 + 0.0153598i 0.0274648 + 0.000705501i
\(475\) 37.3869 8.22948i 1.71543 0.377595i
\(476\) −7.88522 0.427524i −0.361418 0.0195955i
\(477\) 2.29419 14.2438i 0.105044 0.652179i
\(478\) 1.81121 + 1.22803i 0.0828428 + 0.0561688i
\(479\) 10.4506 + 5.54053i 0.477498 + 0.253153i 0.689731 0.724066i \(-0.257729\pi\)
−0.212233 + 0.977219i \(0.568074\pi\)
\(480\) −5.62196 0.449854i −0.256606 0.0205329i
\(481\) −20.1596 + 9.32681i −0.919197 + 0.425266i
\(482\) 0.634307 + 0.935532i 0.0288919 + 0.0426123i
\(483\) −42.1593 33.7915i −1.91831 1.53757i
\(484\) −0.310574 1.89442i −0.0141170 0.0861099i
\(485\) −15.2583 7.05926i −0.692846 0.320545i
\(486\) 0.630527 1.13370i 0.0286013 0.0514256i
\(487\) 0.133571 + 2.46357i 0.00605267 + 0.111635i 0.999998 + 0.00176323i \(0.000561252\pi\)
−0.993946 + 0.109872i \(0.964956\pi\)
\(488\) −0.0555017 + 0.510330i −0.00251244 + 0.0231015i
\(489\) 0.111372 0.364540i 0.00503643 0.0164851i
\(490\) −1.27833 0.509335i −0.0577492 0.0230094i
\(491\) −10.6006 17.6183i −0.478397 0.795102i 0.519852 0.854256i \(-0.325987\pi\)
−0.998249 + 0.0591544i \(0.981160\pi\)
\(492\) 22.5071 14.4307i 1.01470 0.650587i
\(493\) 1.53490 5.52820i 0.0691282 0.248977i
\(494\) 1.80442 + 1.53269i 0.0811848 + 0.0689590i
\(495\) −11.6050 28.8908i −0.521608 1.29854i
\(496\) 8.64180 11.3681i 0.388028 0.510442i
\(497\) −7.06707 + 20.9743i −0.317001 + 0.940826i
\(498\) 0.843830 + 0.417029i 0.0378129 + 0.0186875i
\(499\) 31.2768 23.7760i 1.40014 1.06436i 0.411938 0.911212i \(-0.364852\pi\)
0.988203 0.153147i \(-0.0489409\pi\)
\(500\) 2.46091 4.09007i 0.110055 0.182913i
\(501\) −17.8767 + 0.509331i −0.798673 + 0.0227552i
\(502\) 1.02500 1.08208i 0.0457479 0.0482954i
\(503\) −2.34563 1.41132i −0.104587 0.0629277i 0.462300 0.886724i \(-0.347024\pi\)
−0.566886 + 0.823796i \(0.691852\pi\)
\(504\) 2.10173 + 2.74875i 0.0936184 + 0.122439i
\(505\) 1.16522 + 3.45826i 0.0518518 + 0.153891i
\(506\) −2.24537 0.756554i −0.0998190 0.0336329i
\(507\) −1.21420 8.81933i −0.0539244 0.391680i
\(508\) 2.44641 + 6.14003i 0.108542 + 0.272420i
\(509\) −7.63666 + 8.99058i −0.338489 + 0.398500i −0.904901 0.425622i \(-0.860055\pi\)
0.566412 + 0.824122i \(0.308331\pi\)
\(510\) 0.468814 0.265924i 0.0207594 0.0117753i
\(511\) −11.6181 + 52.7816i −0.513955 + 2.33492i
\(512\) −5.62576 + 3.38491i −0.248626 + 0.149593i
\(513\) 13.8493 + 31.8259i 0.611461 + 1.40515i
\(514\) 0.293300 0.155498i 0.0129369 0.00685871i
\(515\) 4.32487 + 0.470358i 0.190577 + 0.0207265i
\(516\) −8.35196 7.47178i −0.367674 0.328927i
\(517\) −2.39827 8.63778i −0.105476 0.379889i
\(518\) −0.632539 + 1.36721i −0.0277922 + 0.0600718i
\(519\) 3.43934 4.80236i 0.150970 0.210800i
\(520\) 4.60905 0.501264i 0.202120 0.0219819i
\(521\) −0.404053 + 0.273955i −0.0177019 + 0.0120022i −0.570006 0.821641i \(-0.693059\pi\)
0.552304 + 0.833643i \(0.313749\pi\)
\(522\) −1.13734 + 0.530065i −0.0497802 + 0.0232003i
\(523\) −22.4785 26.4637i −0.982916 1.15718i −0.987569 0.157188i \(-0.949757\pi\)
0.00465306 0.999989i \(-0.498519\pi\)
\(524\) −9.14041 + 17.2406i −0.399301 + 0.753161i
\(525\) −33.8285 + 6.54028i −1.47640 + 0.285441i
\(526\) −1.26317 0.207086i −0.0550766 0.00902936i
\(527\) −0.222934 + 4.11178i −0.00971117 + 0.179112i
\(528\) −18.3185 11.6728i −0.797209 0.507994i
\(529\) −41.9403 + 39.7279i −1.82349 + 1.72730i
\(530\) −1.31101 −0.0569467
\(531\) 22.8046 + 3.30903i 0.989636 + 0.143599i
\(532\) −46.2097 −2.00344
\(533\) −23.9477 + 22.6845i −1.03729 + 0.982574i
\(534\) 0.589511 + 0.375646i 0.0255106 + 0.0162558i
\(535\) −1.65767 + 30.5739i −0.0716672 + 1.32182i
\(536\) 1.62447 + 0.266319i 0.0701666 + 0.0115032i
\(537\) 32.2516 6.23540i 1.39176 0.269077i
\(538\) −0.674989 + 1.27316i −0.0291008 + 0.0548900i
\(539\) −10.3529 12.1883i −0.445930 0.524989i
\(540\) 31.8935 + 11.5652i 1.37248 + 0.497686i
\(541\) −20.5717 + 13.9480i −0.884446 + 0.599669i −0.916596 0.399814i \(-0.869075\pi\)
0.0321504 + 0.999483i \(0.489764\pi\)
\(542\) −1.31531 + 0.143049i −0.0564975 + 0.00614447i
\(543\) 0.340917 0.476023i 0.0146302 0.0204281i
\(544\) 0.476431 1.02979i 0.0204268 0.0441518i
\(545\) −0.759239 2.73453i −0.0325222 0.117134i
\(546\) −1.58808 1.42072i −0.0679635 0.0608012i
\(547\) 29.5493 + 3.21368i 1.26344 + 0.137407i 0.715202 0.698918i \(-0.246335\pi\)
0.548234 + 0.836325i \(0.315300\pi\)
\(548\) 1.23950 0.657140i 0.0529487 0.0280716i
\(549\) 1.70332 4.31010i 0.0726961 0.183951i
\(550\) −1.29468 + 0.778983i −0.0552053 + 0.0332159i
\(551\) 7.21722 32.7881i 0.307464 1.39682i
\(552\) 4.49920 2.55206i 0.191499 0.108623i
\(553\) 9.32497 10.9782i 0.396538 0.466841i
\(554\) −0.701206 1.75989i −0.0297914 0.0747708i
\(555\) 4.03590 + 29.3148i 0.171314 + 1.24434i
\(556\) 5.98140 + 2.01537i 0.253668 + 0.0854706i
\(557\) 12.7201 + 37.7518i 0.538966 + 1.59959i 0.777785 + 0.628531i \(0.216343\pi\)
−0.238818 + 0.971064i \(0.576760\pi\)
\(558\) 0.715433 0.547027i 0.0302867 0.0231575i
\(559\) 11.8469 + 7.12807i 0.501072 + 0.301485i
\(560\) −30.9531 + 32.6768i −1.30801 + 1.38085i
\(561\) 6.26118 0.178389i 0.264347 0.00753160i
\(562\) −0.815307 + 1.35505i −0.0343917 + 0.0571594i
\(563\) 17.1064 13.0040i 0.720950 0.548052i −0.179104 0.983830i \(-0.557320\pi\)
0.900054 + 0.435778i \(0.143527\pi\)
\(564\) 8.75712 + 4.32786i 0.368741 + 0.182236i
\(565\) 13.6845 40.6142i 0.575711 1.70865i
\(566\) −0.568816 + 0.748264i −0.0239091 + 0.0314519i
\(567\) −11.7251 28.9550i −0.492410 1.21599i
\(568\) −1.61494 1.37175i −0.0677615 0.0575572i
\(569\) 1.46384 5.27227i 0.0613673 0.221025i −0.926508 0.376276i \(-0.877205\pi\)
0.987875 + 0.155250i \(0.0496184\pi\)
\(570\) 2.65509 1.70234i 0.111209 0.0713033i
\(571\) 19.0288 + 31.6262i 0.796332 + 1.32351i 0.942484 + 0.334252i \(0.108484\pi\)
−0.146152 + 0.989262i \(0.546689\pi\)
\(572\) 24.9829 + 9.95411i 1.04459 + 0.416202i
\(573\) 8.56967 28.0499i 0.358003 1.17180i
\(574\) −0.241872 + 2.22398i −0.0100956 + 0.0928271i
\(575\) 2.78850 + 51.4309i 0.116288 + 2.14481i
\(576\) 22.6284 6.35110i 0.942851 0.264629i
\(577\) 32.7405 + 15.1474i 1.36301 + 0.630594i 0.958802 0.284075i \(-0.0916866\pi\)
0.404204 + 0.914669i \(0.367549\pi\)
\(578\) −0.211332 1.28907i −0.00879023 0.0536181i
\(579\) −0.908091 0.727852i −0.0377390 0.0302485i
\(580\) −18.4157 27.1611i −0.764671 1.12780i
\(581\) 20.5715 9.51737i 0.853448 0.394847i
\(582\) −0.737387 0.0590037i −0.0305657 0.00244578i
\(583\) −13.4610 7.13656i −0.557497 0.295566i
\(584\) −4.28248 2.90360i −0.177210 0.120152i
\(585\) −41.3237 6.65584i −1.70852 0.275185i
\(586\) 1.34674 + 0.0730179i 0.0556332 + 0.00301634i
\(587\) −29.4078 + 6.47314i −1.21379 + 0.267175i −0.775318 0.631571i \(-0.782411\pi\)
−0.438470 + 0.898746i \(0.644480\pi\)
\(588\) 17.4197 + 0.447467i 0.718376 + 0.0184532i
\(589\) 24.0962i 0.992868i
\(590\) −0.0326574 2.09369i −0.00134448 0.0861960i
\(591\) −7.29852 + 7.31900i −0.300221 + 0.301063i
\(592\) 14.1975 + 14.9881i 0.583512 + 0.616006i
\(593\) −6.06685 27.5620i −0.249136 1.13183i −0.920511 0.390717i \(-0.872227\pi\)
0.671375 0.741118i \(-0.265704\pi\)
\(594\) −0.919098 1.01585i −0.0377111 0.0416810i
\(595\) 2.09981 12.8083i 0.0860838 0.525088i
\(596\) −9.16369 + 13.5154i −0.375359 + 0.553614i
\(597\) 16.6404 5.13492i 0.681047 0.210158i
\(598\) −2.42776 + 2.06216i −0.0992784 + 0.0843279i
\(599\) −15.2660 32.9970i −0.623753 1.34822i −0.919551 0.392970i \(-0.871448\pi\)
0.295798 0.955251i \(-0.404415\pi\)
\(600\) 0.617059 3.24033i 0.0251913 0.132286i
\(601\) 1.24645 + 11.4609i 0.0508438 + 0.467501i 0.991688 + 0.128663i \(0.0410684\pi\)
−0.940845 + 0.338838i \(0.889966\pi\)
\(602\) 0.925322 0.151699i 0.0377133 0.00618278i
\(603\) −13.5055 6.20244i −0.549987 0.252583i
\(604\) 22.5277 6.25477i 0.916637 0.254503i
\(605\) 3.15062 0.170822i 0.128091 0.00694489i
\(606\) 0.100774 + 0.125009i 0.00409366 + 0.00507816i
\(607\) −5.10326 9.62578i −0.207135 0.390698i 0.758078 0.652164i \(-0.226139\pi\)
−0.965213 + 0.261466i \(0.915794\pi\)
\(608\) 2.45760 6.16811i 0.0996688 0.250150i
\(609\) −7.25138 + 29.3339i −0.293841 + 1.18867i
\(610\) −0.411287 0.0905310i −0.0166525 0.00366549i
\(611\) −11.6124 3.22416i −0.469787 0.130436i
\(612\) −4.40398 + 5.21431i −0.178021 + 0.210776i
\(613\) 6.43579 2.56425i 0.259939 0.103569i −0.236528 0.971625i \(-0.576010\pi\)
0.496467 + 0.868055i \(0.334630\pi\)
\(614\) −1.25844 0.956643i −0.0507866 0.0386070i
\(615\) 19.5798 + 39.3405i 0.789533 + 1.58636i
\(616\) 3.46279 1.16675i 0.139520 0.0470097i
\(617\) −13.0588 17.1786i −0.525729 0.691584i 0.454207 0.890896i \(-0.349923\pi\)
−0.979936 + 0.199312i \(0.936129\pi\)
\(618\) 0.185695 0.0464566i 0.00746975 0.00186876i
\(619\) 6.89639 + 6.53261i 0.277189 + 0.262568i 0.813647 0.581360i \(-0.197479\pi\)
−0.536457 + 0.843927i \(0.680238\pi\)
\(620\) 17.0991 + 16.1971i 0.686716 + 0.650492i
\(621\) −45.2706 + 11.4605i −1.81665 + 0.459895i
\(622\) −0.592203 0.779030i −0.0237452 0.0312363i
\(623\) 15.9520 5.37486i 0.639104 0.215339i
\(624\) −26.1428 + 13.0113i −1.04655 + 0.520868i
\(625\) −16.5667 12.5937i −0.662668 0.503747i
\(626\) 1.06751 0.425334i 0.0426662 0.0169998i
\(627\) 36.5283 3.02592i 1.45880 0.120844i
\(628\) −14.6835 4.07687i −0.585937 0.162685i
\(629\) −5.81409 1.27978i −0.231823 0.0510280i
\(630\) −2.42822 + 1.47030i −0.0967427 + 0.0585780i
\(631\) −1.22773 + 3.08138i −0.0488753 + 0.122668i −0.951387 0.307997i \(-0.900341\pi\)
0.902512 + 0.430664i \(0.141721\pi\)
\(632\) 0.645923 + 1.21834i 0.0256934 + 0.0484630i
\(633\) −3.52069 + 2.83814i −0.139935 + 0.112806i
\(634\) 0.387150 0.0209907i 0.0153757 0.000833646i
\(635\) −10.4674 + 2.90626i −0.415386 + 0.115331i
\(636\) 15.5752 5.74683i 0.617598 0.227877i
\(637\) −21.2157 + 3.47814i −0.840597 + 0.137809i
\(638\) 0.143269 + 1.31734i 0.00567208 + 0.0521539i
\(639\) 10.7796 + 15.8032i 0.426435 + 0.625166i
\(640\) −3.63125 7.84883i −0.143538 0.310252i
\(641\) −27.8000 + 23.6135i −1.09803 + 0.932677i −0.998057 0.0623125i \(-0.980152\pi\)
−0.0999760 + 0.994990i \(0.531877\pi\)
\(642\) 0.397249 + 1.28734i 0.0156781 + 0.0508072i
\(643\) 22.4554 33.1192i 0.885554 1.30609i −0.0657482 0.997836i \(-0.520943\pi\)
0.951303 0.308259i \(-0.0997463\pi\)
\(644\) 10.0584 61.3537i 0.396358 2.41768i
\(645\) 13.6929 12.3191i 0.539157 0.485064i
\(646\) 0.136404 + 0.619689i 0.00536674 + 0.0243813i
\(647\) 13.8654 + 14.6375i 0.545105 + 0.575460i 0.939096 0.343654i \(-0.111665\pi\)
−0.393991 + 0.919114i \(0.628906\pi\)
\(648\) 2.99062 0.0167585i 0.117483 0.000658336i
\(649\) 11.0618 21.6751i 0.434215 0.850820i
\(650\) 2.03129i 0.0796739i
\(651\) 0.556910 21.6802i 0.0218270 0.849716i
\(652\) 0.428362 0.0942897i 0.0167760 0.00369267i
\(653\) 22.8063 + 1.23652i 0.892481 + 0.0483889i 0.494672 0.869080i \(-0.335288\pi\)
0.397808 + 0.917469i \(0.369771\pi\)
\(654\) −0.0729916 0.101317i −0.00285420 0.00396183i
\(655\) −26.5465 17.9989i −1.03726 0.703277i
\(656\) 27.0867 + 14.3604i 1.05756 + 0.560681i
\(657\) 30.3401 + 35.5169i 1.18368 + 1.38565i
\(658\) −0.741795 + 0.343191i −0.0289182 + 0.0133790i
\(659\) 6.51218 + 9.60475i 0.253679 + 0.374148i 0.933110 0.359591i \(-0.117084\pi\)
−0.679431 + 0.733739i \(0.737773\pi\)
\(660\) 22.4065 27.9551i 0.872172 1.08815i
\(661\) −7.12843 43.4815i −0.277264 1.69123i −0.647315 0.762223i \(-0.724108\pi\)
0.370051 0.929012i \(-0.379340\pi\)
\(662\) 2.06314 + 0.954509i 0.0801861 + 0.0370981i
\(663\) 4.13411 7.33611i 0.160555 0.284911i
\(664\) 0.117480 + 2.16679i 0.00455911 + 0.0840878i
\(665\) 8.21171 75.5054i 0.318436 2.92797i
\(666\) 0.613102 + 1.14864i 0.0237572 + 0.0445091i
\(667\) 41.9627 + 16.7195i 1.62480 + 0.647380i
\(668\) −10.6097 17.6334i −0.410500 0.682256i
\(669\) −0.114889 0.179188i −0.00444185 0.00692781i
\(670\) −0.361290 + 1.30125i −0.0139579 + 0.0502717i
\(671\) −3.73013 3.16840i −0.144000 0.122315i
\(672\) −2.35374 + 5.49286i −0.0907977 + 0.211892i
\(673\) −2.43044 + 3.19719i −0.0936866 + 0.123243i −0.840548 0.541737i \(-0.817767\pi\)
0.746861 + 0.664980i \(0.231560\pi\)
\(674\) −0.110100 + 0.326765i −0.00424090 + 0.0125865i
\(675\) −13.1192 + 26.7341i −0.504959 + 1.02900i
\(676\) 8.15530 6.19950i 0.313665 0.238442i
\(677\) 12.4336 20.6648i 0.477862 0.794213i −0.520352 0.853952i \(-0.674199\pi\)
0.998214 + 0.0597391i \(0.0190269\pi\)
\(678\) −0.0537057 1.88499i −0.00206256 0.0723925i
\(679\) −12.2505 + 12.9327i −0.470132 + 0.496312i
\(680\) 1.06471 + 0.640613i 0.0408296 + 0.0245664i
\(681\) −48.7176 6.56814i −1.86686 0.251692i
\(682\) −0.303676 0.901278i −0.0116283 0.0345117i
\(683\) 22.0529 + 7.43049i 0.843831 + 0.284320i 0.707825 0.706388i \(-0.249677\pi\)
0.136006 + 0.990708i \(0.456573\pi\)
\(684\) −24.0811 + 31.8630i −0.920763 + 1.21831i
\(685\) 0.853485 + 2.14209i 0.0326100 + 0.0818449i
\(686\) 0.365061 0.429783i 0.0139381 0.0164092i
\(687\) −15.0368 26.5094i −0.573690 1.01140i
\(688\) 2.76242 12.5498i 0.105316 0.478457i
\(689\) −17.5506 + 10.5598i −0.668624 + 0.402298i
\(690\) 1.68231 + 3.89578i 0.0640446 + 0.148310i
\(691\) 11.7488 6.22880i 0.446944 0.236955i −0.229705 0.973260i \(-0.573776\pi\)
0.676649 + 0.736305i \(0.263431\pi\)
\(692\) 6.75727 + 0.734897i 0.256873 + 0.0279366i
\(693\) −32.9357 + 1.87829i −1.25113 + 0.0713503i
\(694\) −0.510278 1.83785i −0.0193699 0.0697640i
\(695\) −4.35599 + 9.41531i −0.165232 + 0.357143i
\(696\) −2.35188 1.68436i −0.0891476 0.0638455i
\(697\) −8.78888 + 0.955849i −0.332903 + 0.0362054i
\(698\) −1.66153 + 1.12655i −0.0628899 + 0.0426404i
\(699\) −41.6112 15.2211i −1.57388 0.575713i
\(700\) −25.6672 30.2178i −0.970129 1.14212i
\(701\) 16.7352 31.5659i 0.632079 1.19223i −0.336066 0.941839i \(-0.609096\pi\)
0.968145 0.250390i \(-0.0805587\pi\)
\(702\) −1.80722 + 0.354656i −0.0682091 + 0.0133856i
\(703\) −34.3778 5.63595i −1.29658 0.212564i
\(704\) 1.34371 24.7833i 0.0506430 0.934056i
\(705\) −8.62780 + 13.5398i −0.324942 + 0.509939i
\(706\) −0.793592 + 0.751730i −0.0298672 + 0.0282917i
\(707\) 3.86669 0.145422
\(708\) 9.56571 + 24.7306i 0.359502 + 0.929433i
\(709\) 18.1532 0.681757 0.340879 0.940107i \(-0.389275\pi\)
0.340879 + 0.940107i \(0.389275\pi\)
\(710\) 1.26200 1.19543i 0.0473620 0.0448636i
\(711\) −2.71033 12.1509i −0.101645 0.455694i
\(712\) −0.0872464 + 1.60917i −0.00326970 + 0.0603060i
\(713\) −31.9932 5.24502i −1.19815 0.196427i
\(714\) −0.108405 0.560709i −0.00405696 0.0209840i
\(715\) −20.7044 + 39.0526i −0.774299 + 1.46048i
\(716\) 24.4707 + 28.8091i 0.914513 + 1.07665i
\(717\) 15.6463 42.7736i 0.584320 1.59741i
\(718\) −0.186386 + 0.126373i −0.00695587 + 0.00471620i
\(719\) 21.9692 2.38929i 0.819313 0.0891056i 0.311144 0.950363i \(-0.399288\pi\)
0.508169 + 0.861257i \(0.330322\pi\)
\(720\) 6.40120 + 38.3719i 0.238559 + 1.43004i
\(721\) 1.93550 4.18351i 0.0720817 0.155802i
\(722\) 0.570342 + 2.05419i 0.0212259 + 0.0764489i
\(723\) 15.6853 17.5331i 0.583344 0.652061i
\(724\) 0.669799 + 0.0728450i 0.0248929 + 0.00270726i
\(725\) 25.4499 13.4927i 0.945184 0.501105i
\(726\) 0.127456 0.0550393i 0.00473033 0.00204270i
\(727\) −18.5971 + 11.1895i −0.689728 + 0.414995i −0.816818 0.576896i \(-0.804264\pi\)
0.127090 + 0.991891i \(0.459436\pi\)
\(728\) 1.05603 4.79757i 0.0391389 0.177810i
\(729\) −26.0756 7.00434i −0.965765 0.259420i
\(730\) 2.74794 3.23512i 0.101706 0.119737i
\(731\) 1.37157 + 3.44239i 0.0507294 + 0.127321i
\(732\) 5.28306 0.727343i 0.195268 0.0268834i
\(733\) −20.9717 7.06618i −0.774607 0.260995i −0.0958864 0.995392i \(-0.530569\pi\)
−0.678720 + 0.734397i \(0.737465\pi\)
\(734\) 0.149545 + 0.443835i 0.00551982 + 0.0163823i
\(735\) −3.82672 + 28.3838i −0.141151 + 1.04695i
\(736\) 7.65460 + 4.60562i 0.282152 + 0.169766i
\(737\) −10.7930 + 11.3941i −0.397566 + 0.419705i
\(738\) 1.40746 + 1.32575i 0.0518092 + 0.0488016i
\(739\) −17.7259 + 29.4607i −0.652058 + 1.08373i 0.337739 + 0.941240i \(0.390338\pi\)
−0.989796 + 0.142488i \(0.954490\pi\)
\(740\) −27.1076 + 20.6067i −0.996495 + 0.757516i
\(741\) 21.8319 44.1754i 0.802016 1.62283i
\(742\) −0.443546 + 1.31640i −0.0162831 + 0.0483265i
\(743\) 18.8790 24.8349i 0.692605 0.911106i −0.306565 0.951850i \(-0.599180\pi\)
0.999170 + 0.0407440i \(0.0129728\pi\)
\(744\) 1.90842 + 0.817775i 0.0699659 + 0.0299811i
\(745\) −20.4554 17.3750i −0.749429 0.636571i
\(746\) −0.113888 + 0.410189i −0.00416975 + 0.0150181i
\(747\) 4.15780 19.1444i 0.152126 0.700458i
\(748\) 3.71595 + 6.17595i 0.135869 + 0.225815i
\(749\) 30.1387 + 12.0083i 1.10124 + 0.438775i
\(750\) 0.330141 + 0.100863i 0.0120550 + 0.00368300i
\(751\) 2.99488 27.5374i 0.109285 1.00485i −0.803190 0.595722i \(-0.796866\pi\)
0.912475 0.409133i \(-0.134169\pi\)
\(752\) 0.606415 + 11.1847i 0.0221137 + 0.407863i
\(753\) −27.0259 15.2299i −0.984880 0.555008i
\(754\) 1.61679 + 0.748005i 0.0588799 + 0.0272407i
\(755\) 6.21685 + 37.9211i 0.226254 + 1.38009i
\(756\) 22.4030 28.1117i 0.814789 1.02241i
\(757\) 0.0142810 + 0.0210629i 0.000519052 + 0.000765544i 0.827948 0.560804i \(-0.189508\pi\)
−0.827429 + 0.561570i \(0.810198\pi\)
\(758\) 2.66342 1.23223i 0.0967396 0.0447565i
\(759\) −3.93350 + 49.1582i −0.142777 + 1.78433i
\(760\) 6.42415 + 3.40587i 0.233028 + 0.123544i
\(761\) 8.20487 + 5.56304i 0.297426 + 0.201660i 0.700768 0.713389i \(-0.252841\pi\)
−0.403341 + 0.915050i \(0.632151\pi\)
\(762\) −0.387829 + 0.279401i −0.0140495 + 0.0101216i
\(763\) −3.00263 0.162798i −0.108703 0.00589369i
\(764\) 32.9608 7.25522i 1.19248 0.262485i
\(765\) −7.73744 8.12261i −0.279748 0.293674i
\(766\) 0.481406i 0.0173939i
\(767\) −17.3013 27.7654i −0.624715 1.00255i
\(768\) 18.9474 + 18.8944i 0.683705 + 0.681792i
\(769\) 2.51490 + 2.65495i 0.0906897 + 0.0957400i 0.769760 0.638333i \(-0.220376\pi\)
−0.679071 + 0.734073i \(0.737617\pi\)
\(770\) 0.644421 + 2.92764i 0.0232233 + 0.105505i
\(771\) −4.62123 5.13658i −0.166430 0.184989i
\(772\) 0.216654 1.32153i 0.00779754 0.0475629i